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14149040 = 2451491187
BaseRepresentation
bin110101111110…
…010110110000
3222121211211112
4311332112300
512110232130
61223132452
7231156563
oct65762660
928554745
1014149040
117a94424
1248a4128
132c15219
141c444da
151397495
hexd7e5b0

14149040 has 40 divisors (see below), whose sum is σ = 33145200. Its totient is φ = 5616896.

The previous prime is 14149033. The next prime is 14149063. The reversal of 14149040 is 4094141.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14148997 and 14149015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11327 + ... + 12513.

It is an arithmetic number, because the mean of its divisors is an integer number (828630).

Almost surely, 214149040 is an apocalyptic number.

14149040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572600).

14149040 is an abundant number, since it is smaller than the sum of its proper divisors (18996160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14149040 is a wasteful number, since it uses less digits than its factorization.

14149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 14149040 is about 3761.5209689699. The cubic root of 14149040 is about 241.8664655006.

The spelling of 14149040 in words is "fourteen million, one hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1187 1192 1490 2374 2384 2980 4748 5935 5960 9496 11870 11920 18992 23740 47480 94960 176863 353726 707452 884315 1414904 1768630 2829808 3537260 7074520 14149040